109493049600 has 1296 divisors, whose sum is σ = 453711585600. Its totient is φ = 24944640000.

The previous prime is 109493049587. The next prime is 109493049643. The reversal of 109493049600 is 6940394901.

109493049600 is a `hidden beast` number, since 1 + 0 + 9 + 4 + 9 + 30 + 4 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1084089550 + ... + 1084089650.

It is an arithmetic number, because the mean of its divisors is an integer number (350086100).

Almost surely, 2^109493049600 is an apocalyptic number.

109493049600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109493049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226855792800).

109493049600 is an abundant number, since it is smaller than the sum of its proper divisors (344218536000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109493049600 is a wasteful number, since it uses less digits than its factorization.

109493049600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 109493049600 in words is "one hundred nine billion, four hundred ninety-three million, forty-nine thousand, six hundred".